This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;
#ifndef WAIMAI
#include "islands.h"
#endif
#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() { cout << "\n"; }
template<typename T, typename...U>
void dout(T t, U...u) { cout << t << (sizeof...(u) ? ", " : ""), dout(u...); }
#else
#define debug(...) 7122
#endif
#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for(int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second
const int SIZE = 1e5 + 5;
int n, m, s;
bool state[2 * SIZE];
vector<int> ans, chain;
set<pair<int, int>> adj[SIZE], rev[SIZE];
queue<int> q;
void deal() {
while (q.size()) {
int pos = q.front();
q.pop();
for (auto [np, id] : rev[pos]) if (adj[np].size()) {
adj[np].erase({pos, id});
if (adj[np].size() == 0) q.push(np);
}
}
}
int cnt;
void dfs(int pos, int last) {
if (pos == s && last != -1 && cnt == 0) return;
for (auto [np, id] : adj[pos]) if (id != last) {
cnt -= state[id];
adj[pos].erase({np, id});
adj[np].emplace(pos, id);
state[id] ^= 1;
ans.pb(id);
cnt += state[id];
dfs(np, id);
return;
}
}
variant<bool, vector<int>> find_journey(int N, int M, vector<int> U, vector<int> V) {
n = N, m = M;
FOR (i, 0, m - 1) {
adj[U[i]].emplace(V[i], i);
rev[V[i]].emplace(U[i], i);
}
FOR (i, 0, n - 1) if (adj[i].size() == 0) q.push(i);
deal();
while (adj[s].size() <= 1) {
q.push(s), deal();
if (adj[s].size() == 0) return false;
auto [np, id] = *adj[s].begin();
chain.pb(id);
s = np;
}
FOR (i, 0, n - 1) while (adj[i].size() > 1 + (i == s)) adj[i].erase(adj[i].begin());
dfs(s, -1);
ans.insert(ans.begin(), chain.begin(), chain.end());
reverse(chain.begin(), chain.end());
ans.insert(ans.end(), chain.begin(), chain.end());
return ans;
}
/*
in1
4 5
0 1
1 2
2 3
0 3
3 1
out1
1
10
0 1 2 4 0 3 2 1 4 3
in2
2 3
0 1
1 0
1 0
out2
0
0
*/
#ifdef WAIMAI
int main() {
int N, M;
assert(2 == scanf("%d %d", &N, &M));
vector<int> U(M), V(M);
for (int i = 0; i < M; ++i) {
assert(2 == scanf("%d %d", &U[i], &V[i]));
}
variant<bool, vector<int>> result = find_journey(N, M, U, V);
if (result.index() == 0) {
printf("0\n");
if (get<bool>(result)) {
printf("1\n");
} else {
printf("0\n");
}
} else {
printf("1\n");
vector<int> &canoes = get<vector<int>>(result);
printf("%d\n", static_cast<int>(canoes.size()));
for (int i = 0; i < static_cast<int>(canoes.size()); ++i) {
if (i > 0) {
printf(" ");
}
printf("%d", canoes[i]);
}
printf("\n");
}
return 0;
}
#endif
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